$mathbb{Z}_2$-homology of weak $(p-2)$-faceless $p$-pseudomanifolds may be computed in $O(n)$ time
Keywords
Homology algorithm, Betti numbers, homology generators, 2-manifoldsAbstract
We consider the class of weak $(p-2)$-faceless $p$-pseudomanifolds with bounded boundaries and coboundaries. We show that in this class the Betti numbers with $\mathbb{Z}_2$ coefficients may be computed in time $O(n)$ and the $\mathbb{Z}_2$ homology generators in time $O(nm)$ where $n$ denotes the cardinality of the $p$-pseudomanifold on input and $m$ is the number of homology generators.Downloads
Published
2012-04-23
How to Cite
1.
JUDA, Mateusz and MROZEK, Marian. $mathbb{Z}_2$-homology of weak $(p-2)$-faceless $p$-pseudomanifolds may be computed in $O(n)$ time. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 40, no. 1, pp. 137 - 159. [Accessed 20 April 2024].
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